Snapping with 'median' part has a bug in 2.80?
Edit: seems to be a bug effectively. Snapping with median target works only if the object origin is at the center of the world. If not, there is a delta which correspond to the delta between its origin and the world center.

So the following is true only if the edited object is at center:



This is not a bug, but an enhancement.

In 2.8 you can specify what will be snap (vertex, edge, etc.) and that has an influence on what is considered as snap target.

So you can snap vertices (with median) and that will stuck to the target vertices.



Or you can snap edges and that will stuck to the target edges.